Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications [#287299] of Harold Layton

Papers Published

  1. Layton, HE; Pitman, EB; Moore, LC, Spectral properties of the TGF pathway, Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik, vol. 76 no. SUPPL. 4 (1996), pp. 33-35, ISSN 0044-2267
    (last updated on 2017/12/11)

    Abstract:
    The tubuloglomerular feedback (TGF) mechanism regulates the rate of fluid and solute entry into the nephrons, the functional units of the kidney. Experiments in rats have shown that key variables in the TGF pathway may exhibit a regular, sustained oscillation, of frequency ∼35 mHz; further experiments have revealed substantial spectral complexity, of unknown etiology, up to 500 mHz, in blood flow through the associated vasculature. We have previously published a simple mathematical model of the TGF pathway that predicts the low-frequency oscillation. Here we report additional analysis of the model that suggests that the spectral complexity in the 50-500 mHz range arises, at least in part, from intrinsic properties of the TGF pathway.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320